December 5, 2025Open Access

Second-Order Pseudo-Hermitian Spin-1/2 Bosons

Key Points

Real eigenvalues identified from the normal-ordered Hamiltonian, ensuring stability and boundedness.
Key findings include consistency with microcausality and invariance under time reversal and other transformations.
Theoretical framework explores the implications of a pseudo-Hermitian approach on bosonic field behavior.
Underlines the redefined dual field's role in the breakdown of traditional spin-statistics connection.

Abstract

The canonical quantization of a field theory for spin-1/2 massive bosons that satisfy the Klein–Gordon equation is presented. The breakdown of the usual spin–statistics connection is due to the redefinition of the dual field, rendering the theory pseudo-Hermitian. The normal-ordered Hamiltonian is bounded from below with real eigenvalues, and the theory is consistent with microcausality and invariant under parity, charge conjugation and time reversal.

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